60 citations · 557 across the 47 of their papers we have counts for
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Necessary conditions for optimality of decomposable entanglement witnesses
Seung-Hyeok Kye
It is well known that the support of an optimal decomposable entanglement witness is completely entangled. We add two more necessary conditions for the optimality: The orthogonal c…
Entanglement witnesses arising from exposed positive linear maps
Kil-Chan Ha, Seung-Hyeok Kye
We consider entanglement witnesses arising from positive linear maps which generate exposed extremal rays. We show that every entanglement can be detected by one of these witnesses…
One parameter family of indecomposable optimal entanglement witnesses arising from generalized Choi maps
Kil-Chan Ha, Seung-Hyeok Kye
In the recent paper [Chruściński and Wudarski, arXiv:1105.4821], it was conjectured that the entanglement witnesses arising from some generalized Choi maps are optimal. We show tha…
Existence of product vectors and their partial conjugates in a pair of spaces
Young-Hoon Kiem, Seung-Hyeok Kye, Jungseob Lee
Let and be subspaces of the tensor product of the and dimensional complex spaces, with codimensions and \ellk+\ell<m+n-2$ then…
Exposed faces for decomposable positive linear maps arising from completely positive maps
Hyun-Suk Choi, Seung-Hyeok Kye
Let be a space of matrices. Then the face of the cone of all completely positive maps from into given by is an exposed face of the bigger cone of al…